先化简,再求值(3x/x-2+x/x+2)/(x/x²-4),其中x=-3

学习 时间:2026-06-05 23:16:09 阅读:5592
先化简,再求值(3x/x-2+x/x+2)/(x/x²-4),其中x=-3

最佳回答

忧心的雪碧

妩媚的信封

2026-06-05 23:16:09

[3x/(x-2)+x/(x+2)]/[x/(x²-4)]
={[3x(x+2)+x(x-2)]/(x²-4)}/[x/(x²-4)]
=[(4x²+4x)/(x²-4)]/[x/(x²-4)]
=[4x(x+1)/(x²-4)]/[x/(x²-4)]
=4x+4
=4×(-3)+4
=-8

最新回答共有2条回答

  • 俭朴的飞机
    回复
    2026-06-05 23:16:09

    [3x/(x-2)+x/(x+2)]/[x/(x²-4)]={[3x(x+2)+x(x-2)]/(x²-4)}/[x/(x²-4)]=[(4x²+4x)/(x²-4)]/[x/(x²-4)]=[4x(x+1)/(x²-4)]/[x/(x²-4)]=4x+4=4×(-3)+4=-8

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